%I #7 Oct 16 2015 12:21:30
%S 1,1023,208994018773,3864094036317649535283,
%T 198305312034897003898098826655121,
%U 16102861078300336871094550725929002523470383,1698612808615154132767781717350125427082238529142835109,212216707280526234296212923289763064481087995125148762713351022339
%N Number of lattice paths starting at {n}^10 and ending when any component equals 0, using steps that decrement one or more components by one.
%H Alois P. Heinz, <a href="/A263168/b263168.txt">Table of n, a(n) for n = 0..10</a>
%p g():= seq(convert(n, base, 2)[1..10], n=1025..2047):
%p b:= proc(l) option remember;
%p `if`(l[1]=0, 1, add(b(sort(l-h)), h=g()))
%p end:
%p a:= n-> b([n$10]):
%p seq(a(n), n=0..5);
%Y Column k=10 of A263159.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Oct 11 2015